Advertisements
Advertisements
Question
Match the expressions of column I with that of column II:
| Column I | Column II |
| (1) (21x + 13y)2 | (a) 441x2 – 169y2 |
| (2) (21x – 13y)2 | (b) 441x2 + 169y2 + 546xy |
| (3) (21x – 13y)(21x + 13y) | (c) 441x2 + 169y2 – 546xy |
| (d) 441x2 – 169y2 + 546xy |
Solution
| Column I | Column II |
| (1) (21x + 13y)2 | (b) 441x2 + 169y2 + 546xy |
| (2) (21x – 13y)2 | (c) 441x2 + 169y2 – 546xy |
| (3) (21x – 13y)(21x + 13y) | (a) 441x2 – 169y2 |
Explanation:
(1) We have, (21x + 13y)2 = (21x)2 + (13y)2 + 2 × 21x × 13y ...[Using the identity, (a + b)2 = a2 + b2 + 2ab]
= 441x2 + 169y2 + 546xy
(2) (21x – 13y)2 = (21x)2 + (13y)2 – 2 × 21x × 13y ...[Using the identity, (a – b)2 = a2 + b2 – 2ab]
= 441x2 + 169y2 – 546xy
(3) (21x – 13y)(21x + 13y) = (21x)2 – (13y)2 ...[Using the identity, (a – b)(a + b) = a2 – b2]
= 441x2 – 169y2
APPEARS IN
RELATED QUESTIONS
Simplify the following using the formula: (a − b)(a + b) = a2 − b2: 1.8 × 2.2
Find the value of x, if 5x = (50)2 − (40)2.
Find the following product: \[\left( x + \frac{4}{3} \right)\left( x + \frac{3}{4} \right)\]
Find the following product: (3x + 5) (3x + 11)
Evaluate the following: 35 × 37
Expand the following:
(2x + 3y + 4z)2
Expand the following:
(2p + 3)(2p – 4)(2p – 5)
Evaluate the following by using identities:
983
On dividing p(4p2 – 16) by 4p(p – 2), we get ______.
Using suitable identities, evaluate the following.
105 × 95
